The Collaborative International Dictionary of English v.0.48:

Transude \Tran*sude"\, v. i. [imp. & p. p. Transuded; p. pr. &
   vb. n. Transuding.] [Pref. trans- + L. sudare to sweat: cf.
   F. transsuder.]
   To pass, as perspirable matter does, through the pores or
   interstices of textures; as, liquor may transude through
   leather or wood.
   [1913 Webster]

WordNet (r) 3.0 (2006):

transude
    v 1: release (a liquid) in drops or small quantities; "exude
         sweat through the pores" [syn: exude, exudate,
         transude, ooze out, ooze]

Moby Thesaurus II by Grady Ward, 1.0:

27 Moby Thesaurus words for "transude":
   bleed, discharge, effuse, egest, eliminate, emit, excrete,
   exfiltrate, extravasate, exudate, exude, filter, filtrate,
   give off, leach, lixiviate, ooze, pass, percolate, reek, secrete,
   seep, sew, strain, sweat, transpire, weep